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arXiv · 1112.1422

On radical square zero rings

Claus Michael Ringel·Bao-Lin Xiong
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Abstract

Let A be a connected left artinian ring with radical square zero and with n simple modules. If A is not self-injective, then we show that any module M with Ext^i(M,A) = 0 for 1 \le i \le n + 1 is projective. We also determine the structure of the artin algebras with radical square zero and n simple modules which have a non-projective module M such that Ext^i(M,A) = 0 for 1 \le i \le n.

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Claus Michael Ringel, Bao-Lin Xiong. 2011-12-06. On radical square zero rings. https://arxiv.org/abs/1112.1422

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